Finding the Third Proportional to 126,820 and 267,786

Step by Step Solution

1. Step 1: Write the proportion equation
   126,820 : 267,786 = 267,786 : x
2. Step 2: Convert to fraction form
   126,820/267,786 = 267,786/x
3. Step 3: Cross multiply
   126,820x = 267,786 × 267,786
4. Step 4: Simplify right side
   126,820x = 71,709,341,796
5. Step 5: Solve for x
   x = 71,709,341,796/126,820
6. Step 6: Final answer
   x = 565,441.90